Magma V2.19-8 Tue Aug 20 2013 16:17:46 on localhost [Seed = 3633923131] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2013 geometric_solution 5.56288893 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 3201 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.117685565852 0.767216030764 0 0 3 2 0132 2310 0132 0132 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.840730028824 0.712250342050 4 3 1 5 0132 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746976668988 1.285587543715 2 4 5 1 1230 0132 3201 0132 0 0 0 0 0 1 0 -1 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746976668988 1.285587543715 2 3 4 4 0132 0132 2031 1302 0 0 0 0 0 -1 1 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.804661640684 1.273450313177 3 6 2 6 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617644733284 0.592029724546 5 5 6 6 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546430748093 0.126286954767 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_3'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_3, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 976/13*c_0110_6^3 - 5690/13*c_0110_6^2 - 8678/13*c_0110_6 - 1083/13, c_0011_0 - 1, c_0011_2 + 1/13*c_0110_6^3 - 9/13*c_0110_6^2 + 6/13*c_0110_6 + 9/13, c_0011_5 + c_0110_6, c_0101_0 + 5/13*c_0110_6^3 - 32/13*c_0110_6^2 - 22/13*c_0110_6 + 6/13, c_0101_3 + 1/13*c_0110_6^3 - 9/13*c_0110_6^2 + 6/13*c_0110_6 - 4/13, c_0101_4 + 1/13*c_0110_6^3 - 9/13*c_0110_6^2 + 6/13*c_0110_6 - 4/13, c_0110_6^4 - 6*c_0110_6^3 - 8*c_0110_6^2 + c_0110_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_3, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 100315965229/410040545*c_0110_6^7 - 2728292204511/410040545*c_0110_6^6 + 33119015275/82008109*c_0110_6^5 + 3341481686280/82008109*c_0110_6^4 - 1449520857994/82008109*c_0110_6^3 - 12000926097981/410040545*c_0110_6^2 + 4945050905001/410040545*c_0110_6 + 175545075380/82008109, c_0011_0 - 1, c_0011_2 - 546203/82008109*c_0110_6^7 - 14859920/82008109*c_0110_6^6 + 623138/82008109*c_0110_6^5 + 87237653/82008109*c_0110_6^4 - 33919664/82008109*c_0110_6^3 - 106496512/82008109*c_0110_6^2 - 22648526/82008109*c_0110_6 + 64824402/82008109, c_0011_5 - 1052985/82008109*c_0110_6^7 - 28829030/82008109*c_0110_6^6 - 2069545/82008109*c_0110_6^5 + 213998760/82008109*c_0110_6^4 - 25054203/82008109*c_0110_6^3 - 222645892/82008109*c_0110_6^2 - 60798772/82008109*c_0110_6 + 33390122/82008109, c_0101_0 - 8232760/82008109*c_0110_6^7 - 227902796/82008109*c_0110_6^6 - 97845772/82008109*c_0110_6^5 + 1300708541/82008109*c_0110_6^4 + 5691893/82008109*c_0110_6^3 - 902300540/82008109*c_0110_6^2 + 78526144/82008109*c_0110_6 + 52750772/82008109, c_0101_3 + 3479337/82008109*c_0110_6^7 + 93468914/82008109*c_0110_6^6 - 36905806/82008109*c_0110_6^5 - 570198938/82008109*c_0110_6^4 + 389612933/82008109*c_0110_6^3 + 334837659/82008109*c_0110_6^2 - 203372657/82008109*c_0110_6 + 15903169/82008109, c_0101_4 - 546203/82008109*c_0110_6^7 - 14859920/82008109*c_0110_6^6 + 623138/82008109*c_0110_6^5 + 87237653/82008109*c_0110_6^4 - 33919664/82008109*c_0110_6^3 - 106496512/82008109*c_0110_6^2 - 22648526/82008109*c_0110_6 - 17183707/82008109, c_0110_6^8 + 27*c_0110_6^7 - 7*c_0110_6^6 - 166*c_0110_6^5 + 105*c_0110_6^4 + 104*c_0110_6^3 - 72*c_0110_6^2 + 2*c_0110_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_3, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 1783521431661/1081458586430*c_0110_6^13 - 4042413886319/540729293215*c_0110_6^12 + 46206976100049/540729293215*c_0110_6^11 - 783956159081127/1081458586430*c_0110_6^10 + 596406319904211/540729293215*c_0110_6^9 - 3030205434751267/1081458586430*c_0110_6^8 + 467439827759399/216291717286*c_0110_6^7 - 3918270379697073/540729293215*c_0110_6^6 + 2482555925290213/1081458586430*c_0110_6^5 + 347638491043151/540729293215*c_0110_6^4 + 96253174071459/108145858643*c_0110_6^3 - 105434821627747/1081458586430*c_0110_6^2 - 364610423697431/1081458586430*c_0110_6 + 81703868505351/1081458586430, c_0011_0 - 1, c_0011_2 - 752262598640/5691887297*c_0110_6^13 + 5622256507734/5691887297*c_0110_6^12 - 30139557582391/5691887297*c_0110_6^11 + 44310132764520/5691887297*c_0110_6^10 - 101498963214786/5691887297*c_0110_6^9 + 78904145926736/5691887297*c_0110_6^8 - 250150186741839/5691887297*c_0110_6^7 + 25440792688656/5691887297*c_0110_6^6 + 58304253700901/5691887297*c_0110_6^5 + 33670943273304/5691887297*c_0110_6^4 + 1152210792072/5691887297*c_0110_6^3 - 16033979876132/5691887297*c_0110_6^2 - 173433004364/5691887297*c_0110_6 + 1428325894633/5691887297, c_0011_5 + 2450445779832/5691887297*c_0110_6^13 - 18399844221582/5691887297*c_0110_6^12 + 98781566103375/5691887297*c_0110_6^11 - 147514659514664/5691887297*c_0110_6^10 + 334327046681478/5691887297*c_0110_6^9 - 267067694230526/5691887297*c_0110_6^8 + 819633189460046/5691887297*c_0110_6^7 - 109544320650912/5691887297*c_0110_6^6 - 198253979704815/5691887297*c_0110_6^5 - 107153837570056/5691887297*c_0110_6^4 + 1254067284555/5691887297*c_0110_6^3 + 54499844277956/5691887297*c_0110_6^2 - 189622748833/5691887297*c_0110_6 - 4994010730599/5691887297, c_0101_0 + 130159736421/5691887297*c_0110_6^13 - 995538666876/5691887297*c_0110_6^12 + 5375266667242/5691887297*c_0110_6^11 - 8511238335462/5691887297*c_0110_6^10 + 18551058305421/5691887297*c_0110_6^9 - 16341863600530/5691887297*c_0110_6^8 + 44584150745869/5691887297*c_0110_6^7 - 11550878608042/5691887297*c_0110_6^6 - 12248704323620/5691887297*c_0110_6^5 - 5323525560258/5691887297*c_0110_6^4 + 1055849804038/5691887297*c_0110_6^3 + 3361387301722/5691887297*c_0110_6^2 - 151767374860/5691887297*c_0110_6 - 325740164064/5691887297, c_0101_3 + 2368798327697/5691887297*c_0110_6^13 - 17785310310953/5691887297*c_0110_6^12 + 95479864316948/5691887297*c_0110_6^11 - 142545004770708/5691887297*c_0110_6^10 + 323122470397628/5691887297*c_0110_6^9 - 257996798296950/5691887297*c_0110_6^8 + 792236725964256/5691887297*c_0110_6^7 - 105440971858393/5691887297*c_0110_6^6 - 191522394497789/5691887297*c_0110_6^5 - 103645533357849/5691887297*c_0110_6^4 + 1123769723234/5691887297*c_0110_6^3 + 52647295810916/5691887297*c_0110_6^2 - 174766623070/5691887297*c_0110_6 - 4819244107529/5691887297, c_0101_4 + 1, c_0110_6^14 - 8*c_0110_6^13 + 44*c_0110_6^12 - 80*c_0110_6^11 + 166*c_0110_6^10 - 176*c_0110_6^9 + 388*c_0110_6^8 - 209*c_0110_6^7 - 59*c_0110_6^6 - 4*c_0110_6^5 + 22*c_0110_6^4 + 22*c_0110_6^3 - 11*c_0110_6^2 - 2*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB